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Finding the Fourth Proportional to 199.36, 275.12 and 120.68

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Solution

The fourth proportional to 199.36, 275.12 and 120.68 is: 166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.36 : 275.12 = 120.68 : x
  2. Step 2: Convert to fraction form
    199.36/275.12 = 120.68/x
  3. Step 3: Cross multiply
    199.36x = 275.12 × 120.68
  4. Step 4: Simplify right side
    199.36x = 33,201.48
  5. Step 5: Solve for x
    x = 33,201.48/199.36
  6. Step 6: Final answer
    x = 166.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.